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Found 2 papers, 1 papers with code
3D genome reconstruction from partially phased Hi-C data
The 3-dimensional (3D) structure of the genome is of significant importance for many cellular processes.
Components of symmetric wide-matrix varieties
We show that if X_n is a variety of cxn-matrices that is stable under the group Sym([n]) of column permutations and if forgetting the last column maps X_n into X_{n-1}, then the number of Sym([n])-orbits on irreducible components of X_n is a quasipolynomial in n for all sufficiently large n. To this end, we introduce the category of affine FI^op-schemes of width one, review existing literature on such schemes, and establish several new structural results about them.
Commutative Algebra Algebraic Geometry Combinatorics 13E05, 05E40
